31463447040000 has 780 divisors, whose sum is σ = 113958897129792. Its totient is φ = 8361369600000.

The previous prime is 31463447039987. The next prime is 31463447040043. The reversal of 31463447040000 is 4074436413.

31463447040000 is a `hidden beast` number, since 3 + 14 + 634 + 4 + 7 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7165437805 + ... + 7165442195.

Almost surely, 2^{31463447040000} is an apocalyptic number.

31463447040000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31463447040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56979448564896).

31463447040000 is an abundant number, since it is smaller than the sum of its proper divisors (82495450089792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31463447040000 is an equidigital number, since it uses as much as digits as its factorization.

31463447040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 31463447040000 in words is "thirty-one trillion, four hundred sixty-three billion, four hundred forty-seven million, forty thousand".